Electrostatic generator electrode-centering and seismic-isolation system for flywheel-based energy storage modules

ABSTRACT

Robust electro-static (ES) device embodiments, with application to energy storage flywheels as an example, are described that provide reliable, high-efficiency operation in the presence of thermal and mechanical perturbations, as well as seismic events. Electro-static generators and motors, when augmented with magnetic bearings, passive three-dimensional stabilization techniques and dynamic touch-down bearings, enable robust performance in the face of these environmental concerns, as well as efficient operation during typical operational sequences, including spin-up and steady-state modalities.

STATEMENT REGARDING FEDERALLY SPONSORED RESEARCH OR DEVELOPMENT

The United States Government has rights in this invention pursuant toContract No. DE-AC52-07NA27344 between the U.S. Department of Energy andLawrence Livermore National Security, LLC, for the operation of LawrenceLivermore National Laboratory.

BACKGROUND OF THE INVENTION Field of the Invention

The present invention relates to electrostatic generators, and morespecifically, it relates to systems for maintaining the gap between thestator electrodes and the rotating electrodes of a flywheel rotor of anelectrostatic generator.

Description of Related Art

In the design of flywheel-based, energy storage modules, there arecritical mechanical and structural requirements that must be taken intoaccount to realize operation in the face of environmental issues.Examples of environmental concerns include thermal and mechanicalperturbations, as well as seismic events. Robust device designs,augmented with passive magnetic bearings and stabilization techniques,are therefore crucial to the successful implementation ofnext-generation practical electrostatic (ES) generators and motors.

Bulk ES-based energy storage systems, as an example, can benefit fromthe use of magnetic bearings and levitation techniques, embodiments ofwhich are described herein. These motors and generators must operate athigh rotational speeds, while maintaining stringent dimensionaltolerances during the setup, initial spin-up, and steady-state operationof the system. Additionally, these critical tolerances must bemaintained in the presence of environmental perturbations, includingshock accelerations, such as those that would arise from seismicactivity.

Electrostatic (ES) generator/motors, as described in the prior art, canbe operated in either a generator or a motor mode. Such devices haveapplication to flywheels for bulk energy storage, among myriadcommercial and defense uses. In general, electrostatic generator/motorsinvolve the use of an assembly of rotating and stationary elements thattogether comprise a condenser (or, capacitor), the capacitance of whichvaries periodically with the motion of the rotating elements relative tothe fixed elements.

An example of an ES device in prior art is shown in FIG. 1A (top view)and in FIG. 1B (side view). This prior art is described in an issuedpatent by the present inventor (U.S. Pat. No. 7,834,513 B2,“Electrostatic generator/motor having rotors of varying thickness and acentral stator electrically connected together into two groups”).

Turning now to FIG. 1A, a circular array of fan-like stationaryelements, 100, is depicted. Below this stationary array of elements,referred to as the “stator,” is a similar circular array of elements,which is allowed to rotate about a vertical axis, referred to as the“rotor.” FIG. 1B shows a cross-sectional side view of the overall ESstructure, showing an embodiment consisting of a set of two rotors, 106,with each respective rotor also comprised of a circular array offan-like elements. Each respective rotor plate is bound on each circularsurface by a stationary array of opposing, fan-like elements. One suchpair of stator discs, 100 and 104, in the case of the first rotor, 106;and a second pair of stator discs, 104 and 102, in the case of thesecond rotor, 106. The rotor plates are allowed to rotate about an axisoriented orthogonal to the plane of the fixed plates, as shown in FIG.1A.

As shown in FIG. 1B, the rotors 106 in this device architecture arecomprised of a set of annular, fan-like segmented elements, with eachsuch element having a thickness greater than the basic substrate of thedisc. In general, the thick fan-like sections elements of the rotor canconsist of metallic (conductive) material, dielectric material orcombinations thereof. Each pair of fixed fan-like elements, whichcomprises the opposing stationary plates, forms a capacitor of a fixedgap, g, in between which, each respective rotor revolves. The rotor discconsists of segmented “plateaus” or “islands” of alternating raised andbaseline regions. The height of these segmented islands will result in aconcomitant change in the capacitance across the pair of opposing statorplates. As the rotor disc revolves about its axis, the capacitancebetween each pair of opposing stationary plates will vary periodically.The time-dependent capacitance results from differences in thecapacitive gap dimension between the rotor and stator discs.

In general, the rotor disc can be comprised of metallic and/ordielectric materials, resulting in a time-dependent capacitance as eachfan-like segment of the rotor passes between each respective pair offixed spaced stator discs in the array. We note that the basicconfiguration of FIGS. 1A and 1B can be classified as a planar geometry,since the effective capacitors are formed via the opposing planarsurfaces of the disc-based stators and rotors.

In another prior-art ES device embodiment (not shown), the stators androtors are configured as an ensemble of cylindrical structures, orientedabout a common axis. In this second embodiment, one (or more)cylindrical structure rotates about the common axis (the rotor),whereas, the remaining cylindrical structure(s), at a different radius,remains stationary (the stator). As an example of this embodiment, eachcylindrical structure can be comprised of an ensemble of small-diameteraxial metallic rods, arranged in an annular ring. In this case, theeffective gap, g, will be a function of the time-dependent difference inthe distance from one (or more) fixed stator rods to one (or more)rotating rotor rods in the overall structure.

In most cases, the gap, g, is small, typically, in the range ofmillimeters, so that the capacitance is maximized. Moreover, duringoperation, the change in the gap, g, can vary by a significant fractionof its overall spacing. This design rule follows, since the storedelectric-field energy of the ES generator is a function of the ratio ofthe maximum to the minimum capacitance during operation.

In general, therefore, it is essential that the spacing, g, between therotor and stator electrodes of the ES generator/motors be maintainedwithin close tolerances during the setup, initial spin-up, and steadystate operation of the system. It is further critical that thesetolerances be maintained in the presence of environmental perturbations,including shock accelerations, such as those that would arise fromseismic activity.

During operation, the rotors can experience rotational tangentialvelocities approaching 10⁵ cm/second, while maintaining a gap spacing,g, on the order of 2.5 mm, the latter of which must be maintained towithin fractions of a millimeter. The invention described hereinprovides embodiments that can enable the ES devices to perform withinthese stringent dimensional tolerances, and, furthermore, to maintainthese critical dimensional tolerances in the face of real-worldenvironmental perturbations.

Halbach arrays are well known in the art and are comprised of anensemble of magnetic elements, arranged in the form of a linear orcircular array. FIG. 3 shows an example of a prior-art linear Halbacharray 300 comprised of a linear sequence of magnetic elements 310. Whenthe ensemble of elements 310 is properly configured, the resultantmagnetic field distribution is maximal above one surface of the array,while minimal above the opposing surface. FIG. 4 shows a calculatedmagnetic field distribution of the array 400, whose configurationcorresponds to that shown in FIG. 3. As shown in FIG. 4, this particulararrangement of magnetic elements results in an enhanced magnetic fieldstrength, 410, above one surface; and, concomitantly, a diminishedmagnetic field strength, 420, above the opposing surface.

An example of a prior-art, passive array stabilizer is shown in FIG. 5A,depicting a bearing element with its axis in the vertical direction.This prior art is described in an issued patent by the present inventor(U.S. Pat. No. 5,847,480, “Passive Magnetic Bearing Element with MinimalPower Losses”). This subsystem employs passive elements withcompensating force derivatives in order to achieve stable levitation,with minimal power losses during operation. In this example, thestabilizer employs a spatially periodic magnetic field, such as isproduced by a spatially periodic magnetic array (e.g., a Halbach array),in combination with inductive circuit elements, to produce the desiredstabilizing force derivatives that overcome the destabilizing forcederivatives from other elements.

Turning now to FIG. 5A, the spatially periodic magnetic arrays (e.g.,the Halbach arrays), 510 and 512, are attached by shaft 514 and lieabove and below the planar array of inductive circuits (e.g.,inductively loaded circuits), 516. Array 516 consists of an inductivecircuit having a circuit conductor 518, with inductive loading 519. Ingeneral, array 510 is fixed to, and spaced apart from, array 512. FIG.5B shows a top view of the planar conductor array 516 of FIG. 5A and arepresentative magnet segment 515, with r₁ and r₂ corresponding to therespective inner and outer radius of the annular Halbach array magnetelements. The planar conductor array 516 is movably located, in an axialdirection, between fixed arrays 510 and 512.

In this system, the axial flux through the planar circuits is nulled outwhen their symmetry plane corresponds to the mid-plane between themagnets, becoming finite only when the magnet array is displacedvertically with respect to the planar circuit. The permanent magnetelements are arranged so as to reach force equilibrium with externalforces (i.e., gravity) at an axial position corresponding to thelocation where the (relative) rotating spatially periodic magnet arrayslie symmetrically above and below the planar circuit, the inducedcurrent. Thus the resistive power dissipation of this stabilizer willapproach zero.

SUMMARY OF THE INVENTION

In what follows, we describe embodiments that can satisfy criticaloperational requirements of an electrostatic generator flywheel-basedenergy storage module, through the implementation of three interrelatedsubsystems: (1) A “gap control” subsystem, which provides passive axialpositioning of the stator and rotor elements via magnetic-basedcentering; (2) A “passive array stabilizer” subsystem, which providespassive three-dimensional stabilization via Halbach magnetic arrays andinduction techniques; and (3) A “touch-down bearing” subsystem, whichassures stable operation during device spin-up, as well as uninterrupteddevice functionality in the face of transient perturbations. In theexemplary embodiments below, ES devices that employ these techniques inconcert, will function robustly under real-world conditions, whilemaintaining stringent tolerances and stability in three dimensions.

BRIEF DESCRIPTION OF THE DRAWINGS

The accompanying drawings, which are incorporated into and form a partof the disclosure, illustrate embodiments of the invention and, togetherwith the description, serve to explain the principles of the invention.

FIG. 1A depicts a top view of a multi-element electrostatic motor of theprior art, comprised of fan-like, planar electrodes.

FIG. 1B depicts a cross-sectional side view of the multi-elementelectrostatic motor of FIG. 1A.

FIG. 2 shows an embodiment of an ES device, augmented with magneticlevitating arrays and magnetic centering arrays.

FIG. 3 shows an example of a linear Halbach magnetic array of the priorart.

FIG. 4 shows a calculation of the resultant magnetic field distributionfrom the Halbach array of FIG. 3.

FIG. 5A depicts a side view of a Halbach array-based axial stabilizer ofthe prior art, configured using a pair of disc-shaped Halbach arrays,between which is an inductive circuit disc, coaxially configured about acommon axis.

FIG. 5B depicts a top view of the inductive circuit disc component ofFIG. 5A.

FIG. 6 shows an embodiment of the ES device of FIG. 2, augmented with aHalbach-based axial stabilizing array.

FIG. 7 shows an embodiment of a touch-down bearing assembly.

FIG. 8 depicts an embodiment of an ES device, 800, to which isintegrated the touch-down bearing

DETAILED DESCRIPTION OF THE INVENTION

An exemplary embodiment of the present invention is shown in FIG. 2,which depicts a flywheel based electrostatic (ES) motor/generator, 200.A key aspect of this invention pertains to methods by which to maintainthe centering of the rotating electrodes (the rotor) within a closetolerance relative to the stator electrodes. Without loss of generality,the revolving rotor in this embodiment is of a nominal radius greaterthan that of the fixed stator. In other embodiments, the rotor can be ofa nominal radius less than that of the stator, in which case, similardevice augmentations, as discussed herein, equally apply.

Turning now to FIG. 2, the basic components of a stabilized ES device200 are shown. The device is comprised of a flywheel rotor assembly,220, which consists of multiple rotor electrode elements 225. Inaddition, the device is comprised of a stationary stator assembly, 230,which consists of multiple stator electrode elements, 235. The rotor andstator elements are configured so that they alternate with one anotheralong the axial direction.

The radial alignment of the respective rotor and stator elements ismaintained by a pair of non-contacting, annular, levitating arrays 240,with one of the arrays affixed to the rotor assembly 220, and theopposing array affixed to an upper support structure, 210. Therespective field poles of the upper levitating arrays are oriented sothat the force between the pair of annular magnetic elements isattractive. In this configuration, the radial alignment is stable,whereas, the axial alignment is unstable.

The axial alignment of the respective rotor and stator elements ismaintained by a magnetic centering array 250. This passive arrayprovides a centering force, which acts between the respective supportstructures, 220 and 230. In this example, the centering array 250 is inthe form of three annular magnet arrays, referred to as a “tripletarray.” This array is comprised of either annular magnets or opposingannular Halbach arrays, whose periodicity is in the radial direction.The magnetic poles of the respective elements that comprise the tripletarray 250 are oriented so that a repulsive force is formed between thecentral element with respect to each of the surrounding elements (i.e.,the upper and lower elements) of the ensemble. In this configuration,the axial alignment is stable, whereas, the radial alignment isunstable.

Returning to the embodiment of FIG. 2, the upper and lower arrays thatcomprise the triplet centering array are rigidly supported from below ona planar structure, 215, which is, in turn, supported by compressionsprings, 260 and 265. The platform 215 also supports the stator assembly230, to which is attached the respective stator electrodes 235. On theother hand, the central element of the triplet centering array 250 isrigidly attached to the rotor assembly 220, to which is attached therespective rotor electrodes 235.

To ensure that the motion of the planar support platform 215 isconstrained to purely vertical motion, it is fitted with one or moreguide pins and guide sleeves, 218, as shown in FIG. 2. Alternate meansfor constraining the support platform will be apparent to those skilledin the art based on this disclosure. Also included in this embodimentare compression-spring centering elements, 260 and 265; and a seismicisolation support structure, 205. The net stiffness of the compressionsprings 260 and 265 are selected to be much smaller than that of theeffective stiffness of the centering triplet magnet array 250. Usingthis design rule, the relative axial position of the rotor electrodes225 and stator electrodes 235 will be maintained nearly constant, evenfor large (environmentally induced) changes in the gap between thesupport plate 215 and the base-plate 205 of the flywheel module.

For this system, the change in the gap, Δg, of the centering triplemagnet array 250 (and thus of the gap between the rotor and statorelectrodes) as a function of the change in vertical position of therotor, Δz, is given by Equation (1) as follows:

$\begin{matrix}{{\Delta \; g} = {\left\lbrack \frac{K_{spring}}{K_{brg}} \right\rbrack \Delta \; z}} & (1)\end{matrix}$

Here the effective stiffness values, K, are those of the combinedcompression springs, K_(spring), and of the lower triplet annularpermanent magnet arrays, K_(brg), respectively. As can be seen from theequation, if the stiffness of the combined compression springs 260 and265 is much smaller than that of the lower triplet magnet arrays 250(i.e., the ratio, K_(spring)/K_(brg)<<1), the variation, Δg, fromcentrality of the position of the center magnet of the triplet 250,relative to the upper and lower magnets, as a result of external forces,will be greatly diminished. Under these conditions, the verticalspacing, g, between the E-S generator rotor and stator electrodes willbe minimally affected, and, thus, more robustly maintained. Additionalstiffness requirements for the elements of the complete passive bearingsystem will be described below.

In the operation of the passive magnetic bearing system of the typeshown in FIG. 2, the lower and upper magnetic bearing assemblies aredissimilar in that the lower assembly 250 is composed of a triplet ofrepelling magnet arrays, whereas the upper assembly 240 is a purelyattracting array. As a consequence of this state of affairs, the lowertriple bearing assembly 250 has positive stiffness in the axialdirection (thus stabilizing for axial displacements), and negative(unstable) stiffness in the radial direction. Conversely, the upperlevitating magnet array pair 240 has the opposite characteristics. Thatis, the magnetic bearing 240 has positive stiffness (stabilizing) in theradial direction, and negative stiffness (destabilizing) in the axialdirection.

Depending on the relative magnitudes of the respective upper and lowerbearing stiffness, each respective levitating bearing system will eitherbe stable radially and unstable axially, or vice-versa. This fact stemsfrom the so-called Earnshaw Theorem-based instability. According toEarnshaw's Theorem (when it is applied to magnetic systems), anymagnetic suspension element, such as a magnetic bearing that utilizesstatic magnetic forces between a stationary and a rotating component,cannot exist stably in a state of equilibrium against external forces,e.g., gravity. In other words, if such a bearing element is designed tobe stable against radially directed displacements, it will be unstableagainst axially directed displacements, and vice versa. The assumptionsimplicit in the derivation of Earnshaw's Theorem are that the magneticfields are static in nature (i.e., that they arise from either fixedcurrents or objects of fixed magnetization) and that diamagnetic bodiesare excluded.

The almost universal response to the restriction imposed by Earnshaw'sTheorem has been the following: Magnetic bearing elements are designedto be stable along at least one axis, for example, their axis ofsymmetry, and then external stabilizing means are used to ensurestability along the remaining axes. The “means” referred to could eitherbe mechanical, i.e., ball bearings or the like, or, more commonly,electromagnetic. In the latter approach magnet coils are employed toprovide stabilizing forces through electronic servo amplifiers andposition sensors that detect the incipiently unstable motion of therotating element and restore it to its (otherwise unstable) position offorce equilibrium. Passive stabilization techniques have also beendescribed in the prior art.

FIG. 6 shows an embodiment of an ES device, 600, which employs a“passive array stabilizer” subsystem (similar to that described withrespect to FIG. 5A and FIG. 5B), using Halbach arrays, to overcome theEarnshaw Theorem-based instability. Aside from the stabilizer, the basicES device is otherwise identical to that discussed with reference toFIG. 2. In the embodiment of FIG. 6, the passive stabilizer isconfigured so that the pair of Halbach arrays, 610 and 612, is rigidlymounted to the rotor assembly 220. The inductive circuit element, 616,on the other hand, is rigidly mounted to the fixed stator plate, 215.Recall, that the stator assembly 230 and the centering array 250 arealso rigidly attached to the stator plate 215. In a related embodiment,the passive stabilizer subsystem can be configured so that the pair ofHalbach arrays, 610 and 612, is mounted to the fixed stator plates 215,whereas the inductive circuit 616 element is mounted to the rotorassembly 220. Operationally, both embodiments function identically. Theskilled artesian will appreciate that well known engineeringconsiderations will determine the approach of choice.

In general, the passive array stabilizer subsystem can be utilized tocircumvent various classes of instabilities, be they of axial or radialorigin. Hence, the present invention could operate in either one ofthese cases. As depicted in FIG. 6, we will here only describe itsoperation in the case whereby the overall system is intrinsically stableradially (i.e. the positive radial stiffness of the attracting bearingarray pair is greater than the negative radial stiffness of the tripletarray). For this case, the appropriate Halbach array stabilizer is an“axial stabilizer,” namely, one in which the windings of the stabilizerare midway between upper and lower annular Halbach arrays, with theperiodicity of these arrays being in the azimuthal direction, and withthe arrays oriented azimuthally so that their axial-field componentscancel at the mid-plane, as described in the prior-art embodiment ofFIG. 5A and FIG. 5B.

Returning to FIG. 6, the present invention comes into play in theinitial alignment of the components as follows: In the initial alignmentstep of the device, it is required that the operating gap of the upperlevitating array 240 be adjusted so that its combined upper and lowerlevitating bearings thereof have a net positive radial stiffness at theposition of force equilibrium of the levitated mass (flywheel rotor,electrostatic generator/motor and rotating elements of the passivebearing system) with gravity.

Once the initial alignment procedure is completed, the Halbach arraystabilizer arrays and/or the stabilizer windings are then adjustedaxially so that the null-plane of the arrays coincides both with thecenter plane of the stabilizer windings and with the force-equilibriumaxial position of the rotor and its attachments. For this operation, theinclusion of low-stiffness compression springs, 260 and 265, that allowsthe stator electrodes to follow the axial motion of the rotor, bothfacilitates the setting up of the system and, in addition, providesinsensitivity to seismic activity.

FIG. 7 shows a subsystem, 700, referred to as a “touch-down bearing,”and comes into operation upon either axial or radial displacements ofthe rotor. IN one embodiment, this bearing could be located above, andsupported by, the support plate that carries the lower levitatingpassive bearing Halbach array. The bearing assembly is comprised of anannular conical slot, 710, attached to the rotor, plus an array ofspherical “rollers,” 720, supported by shafts, 730, which are, in turn,connected to the support plate upon which the lower passive bearingelement is mounted.

FIG. 8 depicts an embodiment of an ES device, 800, to which isintegrated the touch-down bearing, 700. The touch-down bearing wouldperform two functions, as follows: First, and for the embodiment that weare describing here, when the rotor is at rest, the fact that itslevitating passive magnetic bearing arrays are unstable in the axialdirection, means that the touchdown bearing would be engaged on eitherits upper or its lower conical surface. As the rotor is spun up fromrest, the Halbach stabilizer subsystem would come into play and pull therotor to its force-equilibrium axial position, coinciding with thenull-flux position of the stabilizer. This action would thusautomatically disengage the touch-down bearing, 700. Second, upon anyradially directed acceleration from seismic activity, or any axiallydirected seismic activity, not adequately absorbed by the compressionsprings, 260 and 265, the touch-down bearing 700 would come into playand prevent the rotor from moving by an (axial) amount sufficient tocause the rotor electrodes, 225, and stator electrodes, 235, of the E-Sgenerator to contact each other.

In summary, the passive magnetic bearing and stabilization subsystems,in conjunction with the touch-down bearing subsystem, as discussedherein, collectively performs critical major functions as follows: (1)stably levitating a flywheel rotor upon the inner surface, of which ismounted the rotating electrodes of an electrostatic generator; (2)maintaining the centering of the rotor electrodes axially with respectto the stator electrodes; and, (3) helping to protect the rotor and E-Sgenerator system from damage caused by seismic activity.

The foregoing description of the invention has been presented forpurposes of illustration and description and is not intended to beexhaustive or to limit the invention to the precise form disclosed. Manymodifications and variations are possible in light of the aboveteaching. The embodiments disclosed were meant only to explain theprinciples of the invention and its practical application to therebyenable others skilled in the art to best use the invention in variousembodiments and with various modifications suited to the particular usecontemplated. The scope of the invention is to be defined by thefollowing claims.

We claim:
 1. An apparatus, comprising: an open cylindrical rotor havinga central axis of rotation; a first support structure that is stationaryrelative to said rotor; a first annular element having its outermostedge attached to the inner surface of said rotor; a second annularelement attached to said first support structure, wherein said secondannular element is positioned in proximity to said first annularelement, wherein at least one of said first annular element and saidsecond annular element is configured to magnetically attract the otherof said first annular element and said second annular element; a secondsupport structure; an axial stabilizer selected from the groupconsisting of a first triplet array and a second triplet array, whereinsaid first triplet array comprises: a first magnetic annular elementattached to the inner surface of said rotor; a second magnetic annularelement attached to said second support structure; and a third magneticannular element attached to said second support structure, wherein saidsecond magnetic annular element and said third magnetic annular elementare positioned on opposite sides, one to another, of said first magneticannular element and both magnetically repel said first magnetic annularelement, and wherein said second triplet array comprises: a firstmagnetic annular element attached to said second structure; a secondmagnetic annular element attached to the inner surface of said rotor;and a third magnetic annular element attached to the inner surface ofsaid rotor, wherein said second magnetic annular element and said thirdmagnetic annular element are positioned on opposite sides of said firstmagnetic annular element and both magnetically repel said first magneticannular element.
 2. The apparatus of claim 1, wherein said first annularelement together with said second annular element comprise aconfiguration selected from the group consisting of (i) wherein saidfirst annular element is a ferromagnetic material and wherein saidsecond annular element is a magnet (ii) wherein said first annularelement is a magnet and wherein said second annular element is aferromagnetic material, (iii) wherein said first annular element is aferromagnetic material and wherein said second annular element is aHalbach array, (iv) wherein said first annular element is a Halbacharray and wherein said second annular element is a ferromagneticmaterial and (v) wherein said first annular element is a Halbach arrayand wherein said second annular element is a Halbach array.
 2. Theapparatus of claim 1, wherein said first annular element is locatedcloser to said first support structure than said first magnetic annularelement.
 3. The apparatus of claim 1, further comprising at least onecompression spring attached to and located between said second supportstructure and a base.
 4. The apparatus of claim 4, wherein said firstmagnetic annular element, said second magnetic annular element and saidthird magnetic annular element are altogether called a centering tripletmagnet array, wherein the net stiffness of each said at least onecompression spring is smaller than the effective stiffness of saidcentering triplet magnet array.
 5. The apparatus of claim 1, whereinsaid second support structure comprises a guide shaft locatedcollinearly with a desired system axis, wherein said base comprises aguide tube configured to receive said guide shaft.
 6. The apparatus ofclaim 1, further comprising a pair of annular magnet elements havingtheir innermost edges in contact with the inner surface of said rotor,further comprising an inductive element located between the annularmagnets of said pair of annular magnets and wherein said inductiveelement is attached to said second support structure.
 7. The apparatusof claim 1, further comprising a pair of annular magnet elementsattached to said support structure, further comprising an inductiveelement located between the annular magnets of said pair of annularmagnets and wherein said inductive element has an outer edge attached tothe inner surface of said rotor.
 8. The apparatus of claim 1, whereinsaid apparatus is a flywheel based electrostatic (ES) motor/generator 9.The apparatus of claim 1, wherein said first HB array ring and saidsecond HB ring array are configured together to maintain radialalignment of the rotor to said desired system axis.
 10. An apparatus,comprising: a vertically oriented open cylindrical rotor having acentral axis of rotation; a supporting first structure that isstationary relative to said rotor, wherein said first structure islocated above said rotor; an annular magnetic first element having itsoutermost edge attached to the upper inner surface of said rotor; anannular magnetic second element attached to said first supportstructure, wherein said second element is positioned above, andseparated by a gap from, said first element, wherein said first elementand said second element are magnetically attracting one to another; asupporting second structure; an annular magnetic third element havingits outermost edge attached to the lower inner surface of said rotor; anannular magnetic fourth element attached to said second structure; andan annular magnetic fifth element attached to said second structure,wherein said fourth element and said fifth element are positioned onopposite sides of said third element and magnetically repel said thirdelement.
 11. An apparatus, comprising: a vertically oriented opencylindrical rotor having a central axis of rotation; a supporting firststructure that is stationary relative to said rotor, wherein said firststructure is located above said rotor; an annular magnetic first elementhaving its outermost edge attached to the upper inner surface of saidrotor; an annular magnetic second element attached to said first supportstructure, wherein said second element is positioned above, andseparated by a gap from, said first element, wherein said first elementand said second element are magnetically attracting one to another; asupporting second structure; an annular magnetic third element attachedto said second structure; an annular magnetic fourth element having itsoutermost edge attached to the inner surface of said rotor; and anannular magnetic fifth element having its outermost edge attached to theinner surface of said rotor, wherein said fourth element and said fifthelement are positioned on opposite sides of said third element andmagnetically repel said third element.